Test the hypothesis (using z-test) of each of the following situations. Show complete steps. An environmentalist collects a liter of water from 45 different locations along the banks of a stream. He measures the amount of dissolved oxygen in each specimen. The mean oxygen level is 4.62 mg, with an overall standard deviation of 0.92. A water purifying company claims that the mean level of oxygen in the water is 5 mg. Conduct a hypothesis test with = 0.001 to determine whether the mean oxygen level is less than 5 mg. (follow these steps) Step1: Formulate the null and the alternative hypothesis. Step2: Specify the level of significance and decide whether a one-tailed test (left or right-tailed) or a two-tailed test shall be used. Step3: Decide the test statistic to be used such as (z-test, t-test, chi-squared, or F). Find the critical or tabular value. Step4: Compute for the value of the test statistic using the data from the population and the sample/s. Step5: Make a decision. a. If the computed value of the test statistic is greater than the critical or tabular value, reject the null hypothesis and accept the alternative hypothesis. b. If the computed value of the test statistic is less than the critical or tabular value, accept the null hypothesis and reject the alternative hypothesis. Step 6: State the conclusion.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Test the hypothesis (using z-test) of each of the following situations. Show complete steps.

An environmentalist collects a liter of water from 45 different locations along the banks of a stream. He measures the amount of dissolved oxygen in each specimen. The mean oxygen level is 4.62 mg, with an overall standard deviation of 0.92. A water purifying company claims that the mean level of oxygen in the water is 5 mg. Conduct a hypothesis test with = 0.001 to determine whether the mean oxygen level is less than 5 mg.

(follow these steps)

Step1: Formulate the null and the alternative hypothesis.

Step2: Specify the level of significance and decide whether a one-tailed test (left or right-tailed) or a two-tailed test shall be used.

Step3: Decide the test statistic to be used such as (z-test, t-test, chi-squared, or F). Find the critical or tabular value.

Step4: Compute for the value of the test statistic using the data from the population and the sample/s.

Step5: Make a decision.

a. If the computed value of the test statistic is greater than the critical or tabular value, reject the null hypothesis and accept the alternative hypothesis.

b. If the computed value of the test statistic is less than the critical or tabular value, accept the null hypothesis and reject the alternative hypothesis.

Step 6: State the conclusion.

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